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Finding the Third Proportional to 320,643 and 507,702

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Solution

The third proportional to 320,643 and 507,702 is: 803,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,643 : 507,702 = 507,702 : x
  2. Step 2: Convert to fraction form
    320,643/507,702 = 507,702/x
  3. Step 3: Cross multiply
    320,643x = 507,702 × 507,702
  4. Step 4: Simplify right side
    320,643x = 257,761,320,804
  5. Step 5: Solve for x
    x = 257,761,320,804/320,643
  6. Step 6: Final answer
    x = 803,888.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.